arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2409.01602eess.SYcs.SY
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多移动机器人的协同全局 K-指数跟踪控制——扩展版

Cooperative Global $\mathcal{K}$-exponential Tracking Control of Multiple Mobile Robots -- Extended Version

Liang Xu, Youfeng Su, He Cai

AI总结:

本文针对有向通信网络下多移动机器人协同跟踪控制问题,提出分布式连续反馈控制律并证明闭环系统全局 K-指数稳定,进一步推广为采样数据控制律,通过数值仿真验证其有效性。

摘要:

本文研究有向通信网络下多移动机器人的协同跟踪控制问题。首先,在所提出的分布式连续反馈控制律作用下,通过构造显式严格 Lyapunov 函数,证明了闭环系统是一致全局渐近稳定的。然后,通过分析收敛速率,进一步证明闭环系统是全局 K-指数稳定的。此外,为了使所提出的控制律更具实用性,基于强积分输入到状态稳定的 Lyapunov 函数,利用仿真方法将分布式连续反馈控制律推广为分布式采样数据反馈控制律。数值仿真验证了所提控制方法的有效性。

英文摘要:

This paper studies the cooperative tracking control problem for multiple mobile robots over a directed communication network. First, it is shown that the closed-loop system is uniformly globally asymptotically stable under the proposed distributed continuous feedback control law, where an explicit strict Lyapunov function is constructed. Then, by investigating the convergence rate, it is further proven that the closed-loop system is globally $\mathcal{K}$-exponentially stable. Moreover, to make the proposed control law more practical, the distributed continuous feedback control law is generalized to a distributed sampled-data feedback control law using the emulation approach, based on the strong integral input-to-state stable Lyapunov function. Numerical simulations are presented to validate the effectiveness of the proposed control methods.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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